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Finding the Third Proportional to 166,791 and 245,775

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Solution

The third proportional to 166,791 and 245,775 is: 362,161.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,791 : 245,775 = 245,775 : x
  2. Step 2: Convert to fraction form
    166,791/245,775 = 245,775/x
  3. Step 3: Cross multiply
    166,791x = 245,775 × 245,775
  4. Step 4: Simplify right side
    166,791x = 60,405,350,625
  5. Step 5: Solve for x
    x = 60,405,350,625/166,791
  6. Step 6: Final answer
    x = 362,161.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.